Description: Recall that a norm ‖.‖ on a vector lattice E is absolute if ‖∣x∣‖=‖x‖ for all x∉E; and monotone if ‖x‖≤‖y‖ whenever 0≤x≤y. If the norm is both absolute and monotone, it is called a Riesz norm. It is e... More

Description: We show that recent integral versions of the classic Jordan-Von Neumann characterization of Euclidean space may he viewed as special cases of a general averaging principle over sets of isometries.

Description: We show that the theory of elliptic integral transformations may be employed to construct iterative approximations for π of order p (p any prime). Details are provided for two, three and seven. The cu... More

Description: Studies of optimization problems have led in recent years to definitions of several types of generalized directional derivatives. Those derivatives of primary interest in this paper were introduced an... More

Description: The synthetic opioid agonist, fentanyl, has been shown in our laboratory to cause a neurological mediated systemic vasoconstriction in man. This may include coronary vasconstriction since ST-segment d... More

Description: We study the (monotone) linear complementarity problem in reflexive Banach space. The problem is treated as a quadratic program and shown to satisfy appropriate constraint qualifications. This leads t... More

Description: In many basic linear algebra texts it is shown that various classes of square matrices (normal, positive, invertible) possess square roots. In this note we characterize those n x n matrices with compl... More

Description: We give a new lattice theoretic criterion for a non-expansive mapping defined on a weakly compact convex subset of a Banach space to have a fixed point. Our condition allows us to show that a wide var... More

Description: We give two general conditions for a convex operator taking values in an ordered vector space to possess subgradient operators. Various consequences are described an extension to abelian groups is giv... More

Description: Afferent fibres from the arterial baro and chemoreceptors travel in the glossopharyngeal and vagus nerves to terminate mainly in the nucleus of the solitary tract (NST) (see Palkovitz and Zaborsky, 19... More